Detail publikace

Jordan curves in the digital plane

ŠLAPAL, J.

Originální název

Jordan curves in the digital plane

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$ including the Khalimsky topology and several other topologies on $\mathbb Z^2$. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they can provide background structures on $\mathbb Z^2$ convenient for the study of geometric and topological properties of two-dimensional digital images.

Klíčová slova

Digital plane, pretopology, undirected simple graph, digital simple closed curve, digital Jordan curve.

Autoři

ŠLAPAL, J.

Rok RIV

2014

Vydáno

1. 1. 2014

Místo

USM Penang

ISSN

0126-6705

Periodikum

Bulletin of the Malaysian Mathematical Sciences Society

Ročník

37

Číslo

2

Stát

Malajsie

Strany od

295

Strany do

310

Strany počet

16

BibTex

@article{BUT91784,
  author="Josef {Šlapal}",
  title="Jordan curves in the digital plane",
  journal="Bulletin of the Malaysian Mathematical Sciences Society",
  year="2014",
  volume="37",
  number="2",
  pages="295--310",
  issn="0126-6705"
}